Storing data using cloud storage is a new trend with tons of features like availability, large network access, on-demand self-service etc. To access the data there is multiple access control scheme, but selecting the secure access control scheme is a major concern in cloud storage. In this paper, we presented a PMDAC-ABSC, an access control scheme for data which is based on ciphertext policy ABSC which is an analytical combination of attribute-based encryption and attribute-based signature. The proposed system can provide anonymous authentication, confidentiality, unforgeability, public verifiability, a fined-grained control measure and attribute privacy protection in a multi-authority cloud storage system.